.5(7x+15)-2=8+x+6

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Solution for .5(7x+15)-2=8+x+6 equation:


Simplifying
0.5(7x + 15) + -2 = 8 + x + 6

Reorder the terms:
0.5(15 + 7x) + -2 = 8 + x + 6
(15 * 0.5 + 7x * 0.5) + -2 = 8 + x + 6
(7.5 + 3.5x) + -2 = 8 + x + 6

Reorder the terms:
7.5 + -2 + 3.5x = 8 + x + 6

Combine like terms: 7.5 + -2 = 5.5
5.5 + 3.5x = 8 + x + 6

Reorder the terms:
5.5 + 3.5x = 8 + 6 + x

Combine like terms: 8 + 6 = 14
5.5 + 3.5x = 14 + x

Solving
5.5 + 3.5x = 14 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
5.5 + 3.5x + -1x = 14 + x + -1x

Combine like terms: 3.5x + -1x = 2.5x
5.5 + 2.5x = 14 + x + -1x

Combine like terms: x + -1x = 0
5.5 + 2.5x = 14 + 0
5.5 + 2.5x = 14

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 2.5x = 14 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 2.5x = 14 + -5.5
2.5x = 14 + -5.5

Combine like terms: 14 + -5.5 = 8.5
2.5x = 8.5

Divide each side by '2.5'.
x = 3.4

Simplifying
x = 3.4

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